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Finding the Third Proportional to 303,225 and 470,827.50

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Solution

The third proportional to 303,225 and 470,827.50 is: 731,069.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,225 : 470,827.50 = 470,827.50 : x
  2. Step 2: Convert to fraction form
    303,225/470,827.50 = 470,827.50/x
  3. Step 3: Cross multiply
    303,225x = 470,827.50 × 470,827.50
  4. Step 4: Simplify right side
    303,225x = 221,678,534,756.25
  5. Step 5: Solve for x
    x = 221,678,534,756.25/303,225
  6. Step 6: Final answer
    x = 731,069.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.